New asymptotic stability criteria for the linear time‐delay systems

1994 ◽  
Vol 17 (5) ◽  
pp. 721-727 ◽  
Author(s):  
Rong‐Jyue Wang ◽  
Wen‐June Wang
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Linear Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Stability Criteria

A Short Note on Stability of Linear Time Delay Systems

2006 ◽  
Author(s):  
M. S. Medenica ◽  
D. Lj. Debeljkovic
Keyword(s):  
Time Delay ◽  
Linear Time ◽  
Short Note ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Stability Criteria ◽  
Analytical Stability ◽  
Cauchy's Theorem ◽  
The Stability ◽  
System With Time Delay

Our research on stability criteria for linear systems with time delay in a frequency domain has brought in a new stability criterion that belongs to the group of graph-analytical stability criteria. Via the theory of functions with a complex variable, this criterion is based upon Cauchy’s theorem of argument and condition that for frequency ω varying from −∞ to +∞ the argument of function f*(jω,ejωτ) has positive change. In solution, as a graphic interpretation in the f* - plane, a spiral curve is obtained, which possesses some characteristics crucial for the stability of a system with time delay. Through given examples, simplicity and facility of criteria application to different cases of systems are shown.

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